In the figure, not drawn to scale, O is the centre of the semi circle and OEFG is a rhombus. ∠OGH = 33°. Find
- ∠i
- ∠j.
(a)
OG = OH = Radius
∠GOH
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠i = ∠GOH = 114° (Corresponding angles, EF//OG)
(b)
∠j
= 180° - 114°
= 66° (Interior angles, FG//EO)
Answer(s): (a) 114°; (b) 66°